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Simplifying 8y2 + 30y = 50 Reorder the terms: 30y + 8y2 = 50 Solving 30y + 8y2 = 50 Solving for variable 'y'. Reorder the terms: -50 + 30y + 8y2 = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + 30y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + 15y + 4y2) = 0 Factor a trinomial. 2((-5 + -1y)(5 + -4y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Solution
y = {-5, 1.25}
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